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math.AP2025
Convergence and Wave Propagation for a System of Branching Rank-Based Interacting Brownian Particles
Mete Demircigil, Milica Tomasevic
In this work we study a branching particle system of diffusion processes on the real line interacting through their rank in the system. Namely, each particle follows an independent…
math.AP2024
Curvature in chemotaxis: A model for ant trail pattern formation
Charles Bertucci, Matthias Rakotomalala, Milica Tomasevic
In this paper, we propose a new model of chemotaxis motivated by ant trail pattern formation, formulated as a coupled parabolic-parabolic local PDE system, for the population densi…